Abstrakt
In this paper we discuss the motion of a beam in interaction with fluids. We allow the beam to move freely in all coordinate directions.
We consider the case of a beam situated in between two different fluids as well as the case where the beam is attached only to one fluid. In both cases the fluid-domain is time changing.
The fluid is governed by the incompressible Navier-Stokes equations. The beam is elastic and governed by a hyperbolic partial differential equation.
In order to allow for large deformations the elastic potential of the beam is non-quadratic and naturally possesses a non-convex state space. We derive the existence of weak-solutions up to the point of a potential collision.& COPY; 2023 Elsevier Masson SAS.
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